Finding the Third Proportional to 64,380 and 103,410

Step by Step Solution

1. Step 1: Write the proportion equation
   64,380 : 103,410 = 103,410 : x
2. Step 2: Convert to fraction form
   64,380/103,410 = 103,410/x
3. Step 3: Cross multiply
   64,380x = 103,410 × 103,410
4. Step 4: Simplify right side
   64,380x = 10,693,628,100
5. Step 5: Solve for x
   x = 10,693,628,100/64,380
6. Step 6: Final answer
   x = 166,101.71